Derivation of Baryon Masses from Confinement Geometry and Relativistic Kinematics
Derivation of Baryon Masses from Confinement Geometry and Relativistic Kinematics
The mass of any light baryon (uu, dd, ss quarks) is derived without fitting parameters from five fundamental inputs: QCD scale ΛQCD=\SI200\mega\electronvoltΛQCD=\SI200\mega\electronvoltMeasured independently via asymptotic freedom in deep inelastic scattering (high-Q2Q2 regime where hadrons do not yet form). Geometric factor π/2=1.5708π/2=1.5708Arising from equilateral triangle topology of three-body confinement (90° projection angle for ground state). Quark momentum pc=ΛQCD⋅π/2=\SI314.16\mega\electronvoltpc=ΛQCD⋅π/2=\SI314.16\mega\electronvoltDirect consequence of (1) and (2) — no fitting. Current quark massesmu=\SI2.16\mega\electronvoltmu=\SI2.16\mega\electronvolt, md=\SI4.67\mega\electronvoltmd=\SI4.67\mega\electronvolt, ms=\SI93.0\mega\electronvoltms=\SI93.0\mega\electronvoltCalibrated exclusively on light meson spectra (π±π±, K±K±), never on baryons. Definiteness LawTopological constraint ΔxijΔpij≥ℏ21+ln2(mi/mj)ΔxijΔpij≥2ℏ1+ln2(mi/mj) forbidding complete localization of three fermions in a color singlet. . The model is available under CC BY 4.0 license: \url{https://doi.org/10.5281/zenodo.18518434}.
hadron mass, geometric model, relativistic kinematics, quark confinement, exotic hadrons, tetraquark, pentaquark, Monte Carlo simulation quantum chromodynamics, QCD phenomenology, charmonium, bottomonium, baryon spectroscopy, molecular state, diquark, geometric confinement, holographic principle, lattice QCD comparison,
hadron mass, geometric model, relativistic kinematics, quark confinement, exotic hadrons, tetraquark, pentaquark, Monte Carlo simulation quantum chromodynamics, QCD phenomenology, charmonium, bottomonium, baryon spectroscopy, molecular state, diquark, geometric confinement, holographic principle, lattice QCD comparison,
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